most citedMultiplicative Diophantine Exponents of Hyperplanes

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Multiplicative Diophantine Exponents of Hyperplanes

Yuqing Zhang

We study multiplicative Diophantine approximation property of vectors and compute Diophantine exponents of hyperplanes via dynamics.

math.NT2008

Diophantine Exponents of Affine Subspaces: The Simultaneous Approximation Case

Yuqing Zhang

We apply nondivergence estimates for flows on homogeneous spaces to compute Diophantine exponents of affine subspaces of and their nondegenerate submanifolds.